First, on the Toeplitz+Hankel determinant side, both in [1]} and in [2]} there are other such determinants not considered here. In particular the latter discusses constants (in their notation) \(E F_{I}, E F_{II}\)  which are simple modifications of \(Z_{sp}, Z_{o}\)  from above. One can expand these new constants easily in Schur functions, call the coefficients of \(s_{\lambda }\)  e.g. \(sq_{\lambda }, sr_{\lambda }\)  and then provided one finds an appropriate Jacobi–Trudi identity, the other results from [2]} should follow.
